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#ifndef CORE_MATH_CONSTEXPR_HH
#define CORE_MATH_CONSTEXPR_HH 1
#pragma once
#include "core/math/concepts.hh"
namespace math
{
template<math::Arithmetic T>
constexpr static inline const T abs(const T x);
template<typename T, std::size_t L>
constexpr static inline const std::size_t array_size(const T (&)[L]);
template<math::Integer T, math::FloatingPoint F>
constexpr static inline const T ceil(const F x);
template<math::Arithmetic T>
constexpr static inline const T degrees(const T x);
template<math::Integer T, math::FloatingPoint F>
constexpr static inline const T floor(const F x);
template<math::Arithmetic T>
constexpr static inline const T clamp(const T x, const T min, const T max);
template<math::Arithmetic T, math::FloatingPoint F>
constexpr static inline const T lerp(const T x, const T y, const F a);
template<math::Arithmetic T>
constexpr static inline const T log2(const T x);
template<math::Arithmetic T>
constexpr static inline const T max(const T x, const T y);
template<math::Arithmetic T>
constexpr static inline const T min(const T x, const T y);
template<math::Integer T>
requires std::is_signed_v<T>
constexpr static inline const T mod_signed(const T x, const T m);
template<math::Arithmetic T>
constexpr static inline const T pow2(const T x);
template<math::Arithmetic T>
constexpr static inline const T radians(const T x);
template<math::Arithmetic T>
constexpr static inline const bool range(const T x, const T min, const T max);
template<math::Arithmetic T, math::FloatingPoint F>
constexpr static inline const T sign(const F x);
template<math::Arithmetic T, math::FloatingPoint F>
constexpr static inline const T smoothstep(const T x, const T y, const F a);
} // namespace math
template<math::Arithmetic T>
constexpr static inline const T math::abs(const T x)
{
if(x < static_cast<T>(0)) {
return -x;
}
else {
return x;
}
}
template<typename T, std::size_t L>
constexpr static inline const std::size_t math::array_size(const T (&)[L])
{
return L;
}
template<math::Integer T, math::FloatingPoint F>
constexpr static inline const T math::ceil(const F x)
{
const T ival = static_cast<T>(x);
if(ival < x) {
return ival + static_cast<T>(1);
}
else {
return ival;
}
}
template<math::Arithmetic T>
constexpr static inline const T math::degrees(const T x)
{
return x * static_cast<T>(180.0) / static_cast<T>(M_PI);
}
template<math::Integer T, math::FloatingPoint F>
constexpr static inline const T math::floor(const F x)
{
const T ival = static_cast<T>(x);
if(ival > x) {
return ival - static_cast<T>(1);
}
else {
return ival;
}
}
template<math::Arithmetic T>
constexpr static inline const T math::clamp(const T x, const T min, const T max)
{
if(x < min) {
return min;
}
else if(x > max) {
return max;
}
else {
return x;
}
}
template<math::Arithmetic T, math::FloatingPoint F>
constexpr static inline const T math::lerp(const T x, const T y, const F a)
{
return static_cast<T>(static_cast<F>(x) * (static_cast<F>(1.0f) - a) + static_cast<F>(y) * a);
}
template<math::Arithmetic T>
constexpr static inline const T math::log2(const T x)
{
if(x < 2) {
return 0;
}
else {
return math::log2<T>((x + 1) >> 1) + 1;
}
}
template<math::Arithmetic T>
constexpr static inline const T math::max(const T x, const T y)
{
if(x < y) {
return y;
}
else {
return x;
}
}
template<math::Arithmetic T>
constexpr static inline const T math::min(const T x, const T y)
{
if(x > y) {
return y;
}
else {
return x;
}
}
template<math::Integer T>
requires std::is_signed_v<T>
constexpr static inline const T math::mod_signed(const T x, const T m)
{
auto result = static_cast<T>(x % m);
if(result < T(0)) {
return result + m;
}
else {
return result;
}
}
template<math::Arithmetic T>
constexpr static inline const T math::pow2(const T x)
{
T value = static_cast<T>(1);
while(value < x)
value *= static_cast<T>(2);
return value;
}
template<math::Arithmetic T>
constexpr static inline const T math::radians(const T x)
{
return x * static_cast<T>(M_PI) / static_cast<T>(180.0);
}
template<math::Arithmetic T>
constexpr static inline const bool math::range(const T x, const T min, const T max)
{
return ((x >= min) && (x <= max));
}
template<math::Arithmetic T, math::FloatingPoint F>
constexpr static inline const T math::sign(const F x)
{
if(x < F(0)) {
return T(-1);
}
else if(x > F(0)) {
return T(+1);
}
else {
return T(0);
}
}
template<math::Arithmetic T, math::FloatingPoint F>
constexpr static inline const T math::smoothstep(const T x, const T y, const F a)
{
const F t = math::clamp<F>((a - x) / (y - x), F(0), F(1));
return static_cast<T>(t * t * (F(3) - F(2) * t));
}
#endif // CORE_MATH_CONSTEXPR_HH
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